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anonymous

  • one year ago

There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?

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  1. anonymous
    • one year ago
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    @nnesha

  2. Nnesha
    • one year ago
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    when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

  3. Nnesha
    • one year ago
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    ohh forgot the exponent rule \[\huge\rm (x^m)^n =x^{m \times n }\] first apply this

  4. anonymous
    • one year ago
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    @nnesha so the answer is 4^6?

  5. Nnesha
    • one year ago
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    yes right!

  6. anonymous
    • one year ago
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    @nnesha can you help with one more?

  7. Nnesha
    • one year ago
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    i'll try

  8. anonymous
    • one year ago
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    What is the value of 3 to the power 2 over 3 to the power 4?

  9. Nnesha
    • one year ago
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    and when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]

  10. anonymous
    • one year ago
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    options are : 1/81, 1/27, 1/9, 1/3

  11. Nnesha
    • one year ago
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    for exxponents you should remember these exponent rules

  12. anonymous
    • one year ago
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    right that would be 3^-2 but that's not an option

  13. Nnesha
    • one year ago
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    yes now we should convert negative to positive exponent \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]

  14. Nnesha
    • one year ago
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    flip the fraction ) when u flip it the sign of the exponent would change

  15. anonymous
    • one year ago
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    so the answer is 1/3??

  16. Nnesha
    • one year ago
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    what about the exponent ?

  17. anonymous
    • one year ago
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    none of the options have exponents

  18. Nnesha
    • one year ago
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    oh well at the end we will not have the exponent ethr \[3^{-2} =???\]

  19. anonymous
    • one year ago
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    im confused.. is the answer not 1/3/?

  20. Nnesha
    • one year ago
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    no

  21. Nnesha
    • one year ago
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    look at this exponent rule when i flipped the fraction i just changed the sign exponent would stay the same \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]

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